Arc DE is equal to the total number of degrees (360) minus the other arc lengths.
Therefore the measure of DE = 360 - (40+30+20+90+110) = 70.
Answer:
see below
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given: Emelina wrote the equation of a line in point-slope form as shown below.
To write the equation in intercept form, first we multiply 3 inside the bracket values in the right side , we get
Now, subtract 4 from both sides , we get
Hence, Emelina’s equation in slope-intercept form :
The right angles triangle has three sides including the hypotenuse which is opposite to the right angle.
If the hypotenuse - H
Then one side is - H - 2
Third side is 7 cm shorter then H-2
Therefore it’s H -2-7 = H -9
According to Pythagoras theorem
Square of hypotenuse = sum of the squares of the other 2 sides
H² = (H-9)² + (H-2)²
H² = H² -18H + 81 + H² -4H + 4
0 =H² -22H +85
This is a quadratic equation
0 = H² - 17H -5H +85
0 = H (H - 17) -5(H-17)
(H-17) (H-5) =0
H -17=0 or H-5=0
H could be 17 cm or 5 cm
If H =5 cm then
Side 1 -H-2 = 3 cm
And side 2 - H-9 = -4 cm
Since lengths cannot be negative values
H isn’t 5 cm
Therefore H =17 cm
1 side is H-2 = 15 cm
2nd side H -9 = 8 cm
Three sides are 17 cm, 15 cm and 8 cm
The mean is 85.2
Explanation:
Add all the numbers together
98+78+84+75+91=426
Divide the sum by the amount of numbers you added together
426/5= 85.2
